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14330340103324 = 22721373739142733
BaseRepresentation
bin1101000010001000101011…
…0101001101010010011100
31212201222010001002220221011
43100202022311031102130
53334242014031301244
650251133425545004
73006222121036600
oct320421265152234
955658101086834
1014330340103324
114625510440643
121735395aa5164
137cc4647472cb
14377840c6b500
1519cb71eb7434
hexd088ad4d49c

14330340103324 has 72 divisors (see below), whose sum is σ = 29393480959920. Its totient is φ = 6095072035584.

The previous prime is 14330340103309. The next prime is 14330340103327. The reversal of 14330340103324 is 42330104303341.

It is a super-2 number, since 2×143303401033242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330340103327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100328262 + ... + 100470994.

It is an arithmetic number, because the mean of its divisors is an integer number (408242791110).

Almost surely, 214330340103324 is an apocalyptic number.

14330340103324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14330340103324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696740479960).

14330340103324 is an abundant number, since it is smaller than the sum of its proper divisors (15063140856596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14330340103324 is a wasteful number, since it uses less digits than its factorization.

14330340103324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146627 (or 146618 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 14330340103324 its reverse (42330104303341), we get a palindrome (56660444406665).

The spelling of 14330340103324 in words is "fourteen trillion, three hundred thirty billion, three hundred forty million, one hundred three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 959 1918 3739 3836 6713 7478 13426 14956 26173 26852 52346 104692 142733 183211 285466 366422 512243 570932 732844 999131 1024486 1998262 2048972 3585701 3996524 6993917 7171402 13987834 14342804 19554421 25099907 27975668 39108842 50199814 78217684 100399628 136880947 273761894 533678687 547523788 958166629 1067357374 1916333258 2134714748 3735750809 3832666516 7471501618 14943003236 26150255663 52300511326 73113980119 104601022652 146227960238 292455920476 511797860833 1023595721666 2047191443332 3582585025831 7165170051662 14330340103324